TSTP Solution File: NUM925^3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM925^3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:43:20 EDT 2024
% Result : Theorem 1.95s 0.67s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 139
% Syntax : Number of formulae : 176 ( 34 unt; 129 typ; 0 def)
% Number of atoms : 290 ( 64 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 46 ( 22 ~; 12 |; 7 &; 0 @)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 206 ( 205 >; 1 *; 0 +; 0 <<)
% Number of symbols : 127 ( 124 usr; 31 con; 0-6 aty)
% Number of variables : 36 ( 0 ^ 30 !; 0 ?; 36 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
int: $tType ).
thf(type_def_8,type,
real: $tType ).
thf(func_def_0,type,
int: $tType ).
thf(func_def_1,type,
nat: $tType ).
thf(func_def_2,type,
real: $tType ).
thf(func_def_3,type,
all: ( nat > $o ) > $o ).
thf(func_def_4,type,
ex: ( nat > $o ) > $o ).
thf(func_def_5,type,
abs_abs_int: int > int ).
thf(func_def_6,type,
abs_abs_real: real > real ).
thf(func_def_7,type,
minus_minus_int: int > int > int ).
thf(func_def_8,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_9,type,
minus_minus_real: real > real > real ).
thf(func_def_10,type,
one_one_int: int ).
thf(func_def_11,type,
one_one_nat: nat ).
thf(func_def_12,type,
one_one_real: real ).
thf(func_def_13,type,
plus_plus_int: int > int > int ).
thf(func_def_14,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_15,type,
plus_plus_real: real > real > real ).
thf(func_def_16,type,
times_times_int: int > int > int ).
thf(func_def_17,type,
times_times_nat: nat > nat > nat ).
thf(func_def_18,type,
times_times_real: real > real > real ).
thf(func_def_19,type,
zero_zero_int: int ).
thf(func_def_20,type,
zero_zero_nat: nat ).
thf(func_def_21,type,
zero_zero_real: real ).
thf(func_def_22,type,
if_int: $o > int > int > int ).
thf(func_def_23,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_24,type,
zcong: int > int > int > $o ).
thf(func_def_25,type,
zprime: int > $o ).
thf(func_def_26,type,
bit0: int > int ).
thf(func_def_27,type,
bit1: int > int ).
thf(func_def_28,type,
min: int ).
thf(func_def_29,type,
pls: int ).
thf(func_def_30,type,
nat_1: int > nat ).
thf(func_def_31,type,
number_number_of_int: int > int ).
thf(func_def_32,type,
number_number_of_nat: int > nat ).
thf(func_def_33,type,
number267125858f_real: int > real ).
thf(func_def_34,type,
succ: int > int ).
thf(func_def_35,type,
semiri1621563631at_int: nat > int ).
thf(func_def_36,type,
semiri984289939at_nat: nat > nat ).
thf(func_def_37,type,
semiri132038758t_real: nat > real ).
thf(func_def_38,type,
ord_less_int: int > int > $o ).
thf(func_def_39,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_40,type,
ord_less_real: real > real > $o ).
thf(func_def_41,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_42,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_43,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_44,type,
power_power_int: int > nat > int ).
thf(func_def_45,type,
power_power_nat: nat > nat > nat ).
thf(func_def_46,type,
power_power_real: real > nat > real ).
thf(func_def_47,type,
legendre: int > int > int ).
thf(func_def_48,type,
quadRes: int > int > $o ).
thf(func_def_49,type,
dvd_dvd_int: int > int > $o ).
thf(func_def_50,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_51,type,
twoSqu919416604sum2sq: int > $o ).
thf(func_def_52,type,
m: int ).
thf(func_def_53,type,
m1: int ).
thf(func_def_54,type,
n: nat ).
thf(func_def_55,type,
s1: int ).
thf(func_def_56,type,
s: int ).
thf(func_def_57,type,
t: int ).
thf(func_def_58,type,
tn: nat ).
thf(func_def_59,type,
x: int ).
thf(func_def_60,type,
y: int ).
thf(func_def_64,type,
sP0: int > $o ).
thf(func_def_65,type,
sP1: int > nat > $o ).
thf(func_def_66,type,
sP2: int > nat > $o ).
thf(func_def_67,type,
sP3: int > int > $o ).
thf(func_def_68,type,
sP4: int > ( nat > $o ) > $o ).
thf(func_def_69,type,
sP5: int > nat > $o ).
thf(func_def_70,type,
sP6: real > real > $o ).
thf(func_def_71,type,
sP7: real > real > $o ).
thf(func_def_72,type,
sP8: int > int > $o ).
thf(func_def_73,type,
sP9: int > int > $o ).
thf(func_def_74,type,
sP10: $o > int > $o > $o ).
thf(func_def_75,type,
sP11: $o > int > $o > $o ).
thf(func_def_76,type,
sP12: ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_77,type,
sP13: nat > nat > ( nat > $o ) > $o ).
thf(func_def_78,type,
sP14: nat > nat > ( nat > $o ) > $o ).
thf(func_def_79,type,
sP15: nat > nat > ( int > $o ) > $o ).
thf(func_def_80,type,
sP16: real > real > real > $o ).
thf(func_def_81,type,
sP17: int > int > int > $o ).
thf(func_def_82,type,
sK18: int ).
thf(func_def_83,type,
sK19: int ).
thf(func_def_84,type,
sK20: int ).
thf(func_def_85,type,
sK21: int ).
thf(func_def_86,type,
sK22: int ).
thf(func_def_87,type,
sK23: int ).
thf(func_def_88,type,
sK24: int ).
thf(func_def_89,type,
sK25: int ).
thf(func_def_90,type,
sK26: int ).
thf(func_def_91,type,
sK27: int ).
thf(func_def_92,type,
sK28: int ).
thf(func_def_93,type,
sK29: int > nat ).
thf(func_def_94,type,
sK30: ( int > $o ) > nat ).
thf(func_def_95,type,
sK31: ( int > $o ) > int ).
thf(func_def_96,type,
sK32: ( int > $o ) > int ).
thf(func_def_97,type,
sK33: ( int > $o ) > nat ).
thf(func_def_98,type,
sK34: int > int ).
thf(func_def_99,type,
sK35: ( nat > $o ) > int ).
thf(func_def_100,type,
sK36: ( nat > $o ) > int ).
thf(func_def_101,type,
sK37: ( nat > $o ) > nat > nat ).
thf(func_def_102,type,
sK38: nat > real > real ).
thf(func_def_103,type,
sK39: nat > real > real ).
thf(func_def_104,type,
sK40: int > int > int ).
thf(func_def_105,type,
sK41: nat > nat > nat ).
thf(func_def_106,type,
sK42: int > ( nat > $o ) > nat ).
thf(func_def_107,type,
sK43: nat > nat > nat ).
thf(func_def_108,type,
sK44: int > int > int ).
thf(func_def_109,type,
sK45: int > int > nat ).
thf(func_def_110,type,
sK46: nat > ( nat > int ) > int > nat ).
thf(func_def_111,type,
sK47: nat > ( nat > int ) > nat ).
thf(func_def_112,type,
sK48: nat > ( nat > int ) > int > nat ).
thf(func_def_113,type,
sK49: nat > ( nat > int ) > nat ).
thf(func_def_114,type,
sK50: int > ( int > $o ) > int ).
thf(func_def_115,type,
sK51: int > ( int > $o ) > int ).
thf(func_def_116,type,
sK52: int > ( int > $o ) > int ).
thf(func_def_117,type,
sK53: nat > nat > ( nat > $o ) > nat ).
thf(func_def_118,type,
sK54: nat > nat > ( nat > $o ) > nat ).
thf(func_def_119,type,
sK55: int > int > int > int ).
thf(func_def_120,type,
sK56: int ).
thf(func_def_121,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_122,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_123,type,
vAND: $o > $o > $o ).
thf(func_def_124,type,
vOR: $o > $o > $o ).
thf(func_def_125,type,
vIMP: $o > $o > $o ).
thf(func_def_126,type,
vNOT: $o > $o ).
thf(func_def_127,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f7998,plain,
$false,
inference(trivial_inequality_removal,[],[f7997]) ).
thf(f7997,plain,
$true = $false,
inference(forward_demodulation,[],[f7985,f7465]) ).
thf(f7465,plain,
! [X0: int] : ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X0) ),
inference(trivial_inequality_removal,[],[f7464]) ).
thf(f7464,plain,
! [X0: int] :
( ( $true != $true )
| ( $false = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X0) ) ),
inference(superposition,[],[f6006,f1208]) ).
thf(f1208,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f6006,plain,
! [X1: int] : ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X1),X1) ),
inference(equality_resolution,[],[f5119]) ).
thf(f5119,plain,
! [X0: int,X1: int] :
( ( X0 != X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) != $true ) ),
inference(cnf_transformation,[],[f4088]) ).
thf(f4088,plain,
! [X0: int,X1: int] :
( ( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true )
| ( X0 = X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) != $true ) )
& ( ( ( X0 != X1 )
& ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) = $true ) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) != $true ) ) ),
inference(flattening,[],[f4087]) ).
thf(f4087,plain,
! [X0: int,X1: int] :
( ( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true )
| ( X0 = X1 )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) != $true ) )
& ( ( ( X0 != X1 )
& ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) = $true ) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) != $true ) ) ),
inference(nnf_transformation,[],[f1812]) ).
thf(f1812,plain,
! [X0: int,X1: int] :
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) = $true )
<=> ( ( X0 != X1 )
& ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) = $true ) ) ),
inference(fool_elimination,[],[f1811]) ).
thf(f1811,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1)
<=> ( ( X0 != X1 )
& vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(rectify,[],[f719]) ).
thf(f719,axiom,
! [X14: int,X9: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X14),X9)
<=> ( ( X9 != X14 )
& vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X14),X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_718_zless__le) ).
thf(f7985,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),zero_zero_int),
inference(backward_demodulation,[],[f5851,f7981]) ).
thf(f7981,plain,
zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n)),
inference(trivial_inequality_removal,[],[f7980]) ).
thf(f7980,plain,
( ( zero_zero_int != zero_zero_int )
| ( zero_zero_int = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n)) ) ),
inference(superposition,[],[f4777,f6579]) ).
thf(f6579,plain,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,one_one_int))),
inference(backward_demodulation,[],[f6465,f6561]) ).
thf(f6561,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,one_one_int)),
inference(backward_demodulation,[],[f6464,f6559]) ).
thf(f6559,plain,
vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)) = vAPP(int,int,bit0,one_one_int),
inference(backward_demodulation,[],[f6525,f4448]) ).
thf(f4448,plain,
! [X0: int] : ( vAPP(int,int,bit0,X0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),X0) ),
inference(cnf_transformation,[],[f2754]) ).
thf(f2754,plain,
! [X0: int] : ( vAPP(int,int,bit0,X0) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X0),X0) ),
inference(rectify,[],[f104]) ).
thf(f104,axiom,
! [X6: int] : ( vAPP(int,int,bit0,X6) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,X6),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_Bit0__def) ).
thf(f6525,plain,
vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) = vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)),
inference(backward_demodulation,[],[f6462,f4353]) ).
thf(f4353,plain,
! [X0: int] : ( vAPP(int,int,number_number_of_int,X0) = X0 ),
inference(cnf_transformation,[],[f2659]) ).
thf(f2659,plain,
! [X0: int] : ( vAPP(int,int,number_number_of_int,X0) = X0 ),
inference(rectify,[],[f178]) ).
thf(f178,axiom,
! [X6: int] : ( vAPP(int,int,number_number_of_int,X6) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_number__of__is__id) ).
thf(f6462,plain,
vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) = vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),
inference(forward_demodulation,[],[f4309,f4261]) ).
thf(f4261,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f99]) ).
thf(f99,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_Pls__def) ).
thf(f4309,plain,
vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) = vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))),
inference(cnf_transformation,[],[f17]) ).
thf(f17,axiom,
vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),one_one_int) = vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_one__add__one__is__two) ).
thf(f6464,plain,
vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat) = vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int))),
inference(forward_demodulation,[],[f4311,f4261]) ).
thf(f4311,plain,
vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f46]) ).
thf(f46,axiom,
vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_nat__1__add__1) ).
thf(f6465,plain,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),one_one_nat)),
inference(backward_demodulation,[],[f6429,f6464]) ).
thf(f6429,plain,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,zero_zero_int)))),
inference(backward_demodulation,[],[f4250,f4261]) ).
thf(f4250,plain,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(cnf_transformation,[],[f2639]) ).
thf(f2639,plain,
zero_zero_int = vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(flattening,[],[f1206]) ).
thf(f1206,negated_conjecture,
zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
inference(negated_conjecture,[],[f1205]) ).
thf(f1205,conjecture,
zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f4777,plain,
! [X0: nat,X1: int] :
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),X0) )
| ( zero_zero_int = X1 ) ),
inference(cnf_transformation,[],[f3187]) ).
thf(f3187,plain,
! [X0: nat,X1: int] :
( ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),X0) )
| ( zero_zero_int = X1 ) ),
inference(ennf_transformation,[],[f2904]) ).
thf(f2904,plain,
! [X0: nat,X1: int] :
( ( zero_zero_int != X1 )
=> ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),X0) ) ),
inference(rectify,[],[f232]) ).
thf(f232,axiom,
! [X70: nat,X71: int] :
( ( zero_zero_int != X71 )
=> ( zero_zero_int != vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X71),X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_field__power__not__zero) ).
thf(f5851,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))) = $true,
inference(cnf_transformation,[],[f2618]) ).
thf(f2618,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))) = $true,
inference(fool_elimination,[],[f2617]) ).
thf(f2617,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,zero_zero_int),vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,one_one_int),vAPP(nat,int,semiri1621563631at_int,n))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM925^3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 14:54:22 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (16764)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (16767)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16767)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (16766)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16765)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (16769)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (16770)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (16768)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16771)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.45 % (16771)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.47 % Exception at run slice level
% 0.15/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.48 % Exception at run slice level
% 0.15/0.48 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.48 % (16772)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.49 % Exception at run slice level
% 0.15/0.49 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.49 % (16773)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.50 % (16774)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.56 % (16772)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.56 % Exception at run slice level
% 0.15/0.56 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.58 % (16773)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.58 % (16775)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 1.95/0.67 % (16770)First to succeed.
% 1.95/0.67 % (16770)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16764"
% 1.95/0.67 % (16770)Refutation found. Thanks to Tanya!
% 1.95/0.67 % SZS status Theorem for theBenchmark
% 1.95/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.67 % (16770)------------------------------
% 1.95/0.67 % (16770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.95/0.67 % (16770)Termination reason: Refutation
% 1.95/0.67
% 1.95/0.67 % (16770)Memory used [KB]: 5707
% 1.95/0.67 % (16770)Time elapsed: 0.295 s
% 1.95/0.67 % (16770)Instructions burned: 755 (million)
% 1.95/0.67 % (16764)Success in time 0.38 s
%------------------------------------------------------------------------------